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COHESIVE ZONE MODELLING - EXISTENCE AND CONVERGENCE OF SOLUTIONS

Hi all , 

    Cohesive zone model is being widely used for capturing delaminations and crack propagation.  I needed a proof which prove that an unique solution exist for the problems which incorporate CZM. Also how can I prove that when the material is  in the softening part of a traction separation law, the  ellipticity of the problem is not spoiled and the convergence is guaranteed. If any text books/journals talk abt this? 

Thanks in advance

Nizanth

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